If $A = 3 a - 2 b, B = - 2 a + 3 b$ and $C = - a - b$ ,
find $A + B - C$ ?

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Solution

Step1-
To obtain the given expression, we first add
$A + B = (3 a - 2 b) + (- 2 a + 3 b) = (3 a - 2 a) + (- 2 b + 3 b) (g r o u p i n g t h e l i k e t e r m s) = (3 - 2) a + (- 2 + 3) b = a + b$
Step2-
now, we subtract
$A + B - C = (a + b) - (- a - b) = (a + a) + (b + b) (g r o u p i n g t h e l i k e t e r m s) = 2 a + 2 b$
Hence, the required solution is $2 a + 2 b$

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